Statistical equations and methods applied to the precision muon (g-2) experiment at BNL

被引：9

作者：

Bennett, G. W.

Bousquet, B.

Brown, H. N.

Bunce, G.

Carey, R. M.

Cushman, P.

Danby, G. T.

Debevec, P. T.

Deile, M.

Deng, H.

Deninger, W.

Dhawan, S. K.

Druzhinin, V. P.

Duong, L.

Efstathiadis, E.

Farley, F. J. M.

Fedotovich, G. V.

Giron, S.

Gray, F.

Grigoriev, D.

Grosse-Perdekamp, M.

Grossmann, A.

Hare, M.

Hertzog, D. W.

Huang, X.

Hughes, V. W.

Iwasaki, M.

Jungmann, K.

Kawall, D.

Kawamura, M.

Khazin, B. I.

Kindem, J.

Krienen, F.

Kronkvist, I.

Lam, A.

Larsen, R.

Lee, Y. Y.

Logashenko, I. B.

McNabb, R.

Meng, W.

Mi, J.

Miller, J. P.

Morse, W. M.

Nikas, D.

Onderwater, C. T. G.

Orlov, Yu. F.

Ozben, C.

Paley, J.

Peng, Q.

Polly, C.

机构：

[1] Budker Inst Nucl Phys, Novosibirsk 630090, Russia

[2] Boston Univ, Dept Phys, Boston, MA 02215 USA

[3] Brookhaven Natl Lab, Upton, NY 11973 USA

[4] Cornell Univ, Newman Lab, Ithaca, NY 14853 USA

[5] Fairfield Univ, Fairfield, CT 06430 USA

[6] Kernfys Versneller Inst, Univ Groningen, NL-9747 AA Groningen, Netherlands

[7] Heidelberg Univ, Inst Phys, D-69120 Heidelberg, Germany

[8] Univ Illinois, Dept Phys, Urbana, IL USA

[9] KEK, High Energy Accelerator Res Org, Tsukuba, Ibaraki 3050801, Japan

[10] Univ Minnesota, Dept Phys, Minneapolis, MN 55455 USA

[11] Tokyo Inst Technol, Tokyo 152, Japan

[12] Yale Univ, Dept Phys, New Haven, CT 06511 USA

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 2007年 / 579卷 / 03期

基金：

俄罗斯基础研究基金会; 美国国家科学基金会;

关键词：

X-2 minimization fit; statistical errors; correlations; systematic errors; set-subset variance; bias of fit parameters;

D O I：

10.1016/j.nima.2007.06.023

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency omega(a) is obtained from a standard chi(2) minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (similar to 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for omega(a), including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：1096 / 1116

页数：21

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